Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
عنوان مقاله: Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
شناسه ملی مقاله: JR_CMDE-8-1_008
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_CMDE-8-1_008
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, Maku Branch, Islamic Azad University, Maku, Iran
خلاصه مقاله:
- - - Department of Mathematics, Maku Branch, Islamic Azad University, Maku, Iran
In this paper, the Lie symmetry analysis is presented for the time-fractional KdV equation with the Riemann-Liouville derivative. We introduce a generalized approximate nonclassical method that is applied to differential equations with fractional order. In the sense of this symmetry, the vector fields of fractional KdV equation are obtained. The similarity reduction corresponding to the symmetries of the equation is constructed.
کلمات کلیدی: Approximate Lie symmetry analysis, Time-fractional KdV equation, Group-invariant solution
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1598029/